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Finding the Fourth Proportional to 71,643.88, 98,865.57 and 39,812.50

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Solution

The fourth proportional to 71,643.88, 98,865.57 and 39,812.50 is: 54,939.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,643.88 : 98,865.57 = 39,812.50 : x
  2. Step 2: Convert to fraction form
    71,643.88/98,865.57 = 39,812.50/x
  3. Step 3: Cross multiply
    71,643.88x = 98,865.57 × 39,812.50
  4. Step 4: Simplify right side
    71,643.88x = 3,936,085,505.63
  5. Step 5: Solve for x
    x = 3,936,085,505.63/71,643.88
  6. Step 6: Final answer
    x = 54,939.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.